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diff --git a/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma b/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma
index a811b35be..4b168051d 100644
--- a/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/fsle_length.ma
@@ -19,22 +19,22 @@ include "static_2/static/fsle.ma".
 
 (* Properties with length for local environments ****************************)
 
-lemma fsle_sort_bi: ∀L1,L2,s1,s2. |L1| = |L2| → ⦃L1, ⋆s1⦄ ⊆ ⦃L2, ⋆s2⦄.
-/3 width=8 by lveq_length_eq, frees_sort, sle_refl, ex4_4_intro/ qed.
+lemma fsle_sort_bi: ∀L1,L2,s1,s2. |L1| = |L2| → ❨L1,⋆s1❩ ⊆ ❨L2,⋆s2❩.
+/3 width=8 by lveq_length_eq, frees_sort, pr_sle_refl, ex4_4_intro/ qed.
 
-lemma fsle_gref_bi: ∀L1,L2,l1,l2. |L1| = |L2| → ⦃L1, §l1⦄ ⊆ ⦃L2, §l2⦄.
-/3 width=8 by lveq_length_eq, frees_gref, sle_refl, ex4_4_intro/ qed.
+lemma fsle_gref_bi: ∀L1,L2,l1,l2. |L1| = |L2| → ❨L1,§l1❩ ⊆ ❨L2,§l2❩.
+/3 width=8 by lveq_length_eq, frees_gref, pr_sle_refl, ex4_4_intro/ qed.
 
-lemma fsle_pair_bi: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ⦃K1, V1⦄ ⊆ ⦃K2, V2⦄ →
-                    ∀I1,I2. ⦃K1.ⓑ{I1}V1, #O⦄ ⊆ ⦃K2.ⓑ{I2}V2, #O⦄.
+lemma fsle_pair_bi: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ❨K1,V1❩ ⊆ ❨K2,V2❩ →
+                    ∀I1,I2. ❨K1.ⓑ[I1]V1,#O❩ ⊆ ❨K2.ⓑ[I2]V2,#O❩.
 #K1 #K2 #HK #V1 #V2
 * #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12
 #I1 #I2
 elim (lveq_inj_length … HK12) // -HK #H1 #H2 destruct
-/3 width=12 by frees_pair, lveq_bind, sle_next, ex4_4_intro/
+/3 width=12 by frees_pair, lveq_bind, pr_sle_next, ex4_4_intro/
 qed.
 
 lemma fsle_unit_bi: ∀K1,K2. |K1| = |K2| →
-                    ∀I1,I2. ⦃K1.ⓤ{I1}, #O⦄ ⊆ ⦃K2.ⓤ{I2}, #O⦄.
-/3 width=8 by frees_unit, lveq_length_eq, sle_refl, ex4_4_intro/
+                    ∀I1,I2. ❨K1.ⓤ[I1],#O❩ ⊆ ❨K2.ⓤ[I2],#O❩.
+/3 width=8 by frees_unit, lveq_length_eq, pr_sle_refl, ex4_4_intro/
 qed.